BUDDY HOLLY (Charles Hardin Holley) the favorite son of Lubbock, Texas. Along with the Crickets (Jerry Allison-Drummer, Bassist-Joe B. Mauldin, and Rhythm Guitarist Niki Sullivan) he went to work with Producer Norman Petty in Clovis, New Mexico, who was hot in the new world of Rock and Roll music, with Buddy Knox's Hit "Party Doll" topping the Pop Charts.
They recorded a song written by Holly and Allison called, THAT'LL BE THE DAY, and Petty liked it so much that he decided to manage the band and sent the recording to Brunswick Records who loved the demo, signed Holly and the Crickets and released the demo as recorded by Petty.
As we used to say in the Record Business, BOOM! It took off up the charts and became the biggest selling record in the States at the time, "Peggy Sue" was coming next. The video is Buddy's and the boys first National TV Appearance on the "Ed Sullivan Show." Ed Sullivan was a slightly stiff and puritanical News Paper Columnist, who owned Sunday Nights with a Variety Show (puppets, acrobats, ventriloquists, musical acts), and appearing on his show and kissing his ring was part of the path to stardom.
So it was for Buddy and the Crickets, here they are doing, "That'll Be The Day" on that show Live in 1957, (note: the mic hung around his neck, they apparently didn't have a Boom Mic yet) becoming Rock & Roll Stars, in a Kinescope clip with acceptable Picture and good Audio. @therealdonrocks